Algebra II: Polynomials

Summary

Problems 4

Summary Problems 4

Problem : Find all the rational zeros of P(x) = 6x⁴ - x³ -55x² + 9x + 9.

x = - 3, -

, 3.

Problem : Find all the rational zeros of P(x) = 3x⁴ +10x³ -11x² - 10x + 8.

x = - 4, -1,

, 1.

Problem : Find all the rational zeros of P(x) = 2x⁴ + x³ -14x² + 5x + 6.

x = - 3, -

, 1, 2.

Problem : Factor completely: P(x) = 3x³ +17x² + 5x - 25.

P(x) = (3x + 5)(x + 5)(x - 1).

Problem : Factor completely: P(x) = 4x⁴ +13x³ -49x² - 73x - 15.

P(x) = (4x + 1)(x + 5)(x + 1)(x - 3).

Problem : Factor completely: P(x) = 8x⁴ +24x³ -34x² - 6x + 8.

P(x) = 2(2x + 1)(2x - 1)(x + 4)(x - 1).